The combined Lagrangian advection method
The combined Lagrangian advection method
复制标题
组合拉格朗日平流法
DOI：
10.1016/j.jcp.2010.03.048
复制
发表时间：
2010
期刊：
影响因子：
--
通讯作者：
Jérôme Fontane
中科院分区：
文献类型：
--
作者：
D. Dritschel;Jérôme Fontane
我们提出并测试了一种新的混合数值模拟方法逐层二维地球物理流。该方法从根本上扩展了原始的轮廓平流半拉格朗日（CASL）算法[5]，结合了三个计算元素，用于一般示踪剂（例如位涡，水汽等）的平流：(1)大尺度的伪谱方法，（2）中到小尺度的拉格朗日等值线，（3）一般强迫和耗散表示的拉格朗日粒子。伪谱方法在大尺度下是高效和高精度的，而等值线平流在小尺度下是高效和准确的，允许人们模拟远低于用于表示速度场的基本网格尺度的极细尺度结构。粒子允许人们有效地将一般强迫和耗散结合起来。
We present and test a new hybrid numerical method for simulating layerwise-two-dimensional geophysical flows. The method radically extends the original Contour-Advective Semi-Lagrangian (CASL) algorithm [5] by combining three computational elements for the advection of general tracers (e.g. potential vorticity, water vapor, etc.): (1) a pseudo-spectral method for large scales, (2) Lagrangian contours for intermediate to small scales, and (3) Lagrangian particles for the representation of general forcing and dissipation. The pseudo-spectral method is both efficient and highly accurate at large scales, while contour advection is efficient and accurate at small scales, allowing one to simulate extremely fine-scale structure well below the basic grid scale used to represent the velocity field. The particles allow one to efficiently incorporate general forcing and dissipation.